A nonunimodal graded gorenstein artin algebra in codimension five
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis in Communications in Algebra
- Vol. 20 (8) , 2323-2336
- https://doi.org/10.1080/00927879208824466
Abstract
A graded standard Gorenstein Artin algebra quotient of the polynomial ring R over k can be viewed as the algebra Af of partial differential operators of all degrees on a form F. The algebra A is unimodal if the Hilbert function has a single local maximum. We use the theory of compressed algebras to construct forms F in five or more variables whose Gorenstein algebras Af are not unimodal.Keywords
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